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Finding the Fourth Proportional to 132,228.40, 198,472.20 and 65,743.60

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Solution

The fourth proportional to 132,228.40, 198,472.20 and 65,743.60 is: 98,679.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,228.40 : 198,472.20 = 65,743.60 : x
  2. Step 2: Convert to fraction form
    132,228.40/198,472.20 = 65,743.60/x
  3. Step 3: Cross multiply
    132,228.40x = 198,472.20 × 65,743.60
  4. Step 4: Simplify right side
    132,228.40x = 13,048,276,927.92
  5. Step 5: Solve for x
    x = 13,048,276,927.92/132,228.40
  6. Step 6: Final answer
    x = 98,679.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.